Simplify. Assume that the denominator is equal to zero. (4g^3h^4)^3

9514 1404 393

  64g^9h^12

Step-by-step explanation:

If we assume the denominator is zero, the "simplified" form is "undefined."

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There is no denominator shown. Usually that means the denominator is taken to be 1, not zero. In that case, the applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

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  (4g^3h^4)^3 = (4^3)(g^3)^3(h^4)^3 = 64g^(3·3)h^(4·3)

  = 64g^9h^12

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d